Time: 5:56am PST on 09/13/2013
Frequency: Every day
World name: Cactuar
Character name: Folsom Chauser

Steps:

1. Complete Grand Company Mission or do not complete Grand Company Mission
2. 5:00am Occurs and Missions do not reset despite duration remaining resetting in the Timers window

I have included a screenshot of the Timers window (which includes the same information as the GC NPC). I have not completed my Provisioning Missions yet today (I did yesterday), but they are absent, while I did NOT complete the Supply Missions yesterday, but they are the same as the ones offered yesterday despite the mission duration timer having reset.